Easy is a relative term. :-) The short answer is yes but drilling stainless can be a real bear. It tends to be very hard on tools but since you're only drilling one hole that shouldn't be an issue. Pick up a hole saw at your local hardware store/home center.

If possible use a scrap of wood to form a backer for your hole. If you're drilling the sink in-place be careful with the amount of pressure as the metal is fairly thin and you could deform it. Use a center punch to mark your hole and to keep the drill bit from wandering. Drill slow and steady. Ideally you'd use cutting fluid but in a pinch something like WD-40 or CRC 5-56 would work. You'll probably want to use a small file to clean up any burrs left behind by the saw.

Good luck!

Mike

A chassis punch from the rental yard makes a much cleaner hole then drilling.

Brickeye,
what's a chassis punch? how is it normally used? sounds intriguing

about half way down the page of the link is a chassis punch

Here is a link that might be useful: chassis punch

A chassis punch was how the manufacturer opunched the holes, but the one they use is hydraulic powered.
You drill a small hole (1/4 inch, 3/8 inch, sometimes 1/2 inch) at teh center of the new hole. The punch has a male side and a female side and they are opulled together by the screw through the hole and into the other side.
Tighten screw, cut hole.
A rental yard may even have a hydraulic set to rent. Instead of a simple screw they use a hand operated cylinder to pull the punch sides together.